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SUMMARY:Contributed talk: Validity of sound-proof approximations for magne
 tic buoyancy - Paul Bushby (Newcastle University)
DTSTART:20221202T144500Z
DTEND:20221202T151500Z
UID:TALK192161@talks.cam.ac.uk
DESCRIPTION:The presence of acoustic waves in models of compressible flows
  can present complications for analytical and numerical analysis. Therefor
 e\, several methods have been developed to filter out these waves\, leadin
 g to various "sound-proof" models\, including the Boussinesq\, anelastic a
 nd pseudo-incompressible models. We assess the validity of each of these a
 pproximate models for describing magnetic buoyancy in the context of the s
 olar interior. A general sound-proof model is introduced and compared to t
 he fully compressible system in a number of asymptotic regimes\, including
  both non-rotating and rotating cases. We obtain specific constraints that
  must be satisfied in order that the model captures the leading-order beha
 viour of the fully compressible system. We then discuss which of the exist
 ing sound-proof models satisfy these constraints\, and in what parameter r
 egimes.&nbsp\;\nJoint work with John Moss and Toby Wood.
LOCATION:Seminar Room 1\, Newton Institute
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